Part (a) Derive an expression for the sensor height, h, above the horizontal tank bottom as a function of L, d and 0. Part (b) Use logic to deduce the value, in degrees, of the angle 0 when the fuel tank is full. No computation is required. Part (c) Calculate the angle, in degrees, associated with a half-full fuel tank. Part (d) Note that the arm is longer than the tank is deep, L > d. What angle, in degrees, is associated with an empty fuel tank? please show work
Part (a) Derive an expression for the sensor height, h, above the horizontal tank bottom as a function of L, d and 0. Part (b) Use logic to deduce the value, in degrees, of the angle 0 when the fuel tank is full. No computation is required. Part (c) Calculate the angle, in degrees, associated with a half-full fuel tank. Part (d) Note that the arm is longer than the tank is deep, L > d. What angle, in degrees, is associated with an empty fuel tank? please show work
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Part (a) Derive an expression for the sensor height, h, above the horizontal tank bottom as a function of L, d and 0.
Part (b) Use logic to deduce the value, in degrees, of the angle 0 when the fuel tank is full. No computation is required.
Part (c) Calculate the angle, in degrees, associated with a half-full fuel tank.
Part (d) Note that the arm is longer than the tank is deep, L > d. What angle, in degrees, is associated with an empty fuel tank?
please show work
Transcribed Image Text:The fuel tank on a car has a depth d = 0.442 m. The fuel level in the tank is detected by
a sensor at the end of an arm with length L = 0.683 m. The arm is free to rotate about a pivot at an upper
corner of the fuel tank. The angle between the arm and the vertical is, as indicated in the drawing.
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